{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ff830b77-19e3-4a28-bc73-50f2f4f7a23f",
   "metadata": {},
   "source": [
    "# Rendering and Visualization of Meshes\n",
    "\n",
    "Since version `0.16.0`, Kaolin provides an easy rendering function for meshes.\n",
    "\n",
    "This render function can also be used to interactively view a mesh directly in a notebook, using mouse events to change view."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "842c3297-904a-4d49-a402-885f82c2328f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "pip install matplotlib --quiet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "760a4481-cabf-4066-a8cd-f22460d44952",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import copy\n",
    "import logging\n",
    "import math\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import sys\n",
    "import torch\n",
    "\n",
    "import kaolin as kal\n",
    "import nvdiffrast\n",
    "from kaolin.rep import SurfaceMesh\n",
    "\n",
    "from tutorial_common import COMMON_DATA_DIR\n",
    "\n",
    "def sample_mesh_path(fname):\n",
    "    return os.path.join(COMMON_DATA_DIR, 'meshes', fname)\n",
    "\n",
    "def print_tensor(t, name='', **kwargs):\n",
    "    print(kal.utils.testing.tensor_info(t, name=name, **kwargs))\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94b06b5f-748d-4196-b02e-9a63534c44b0",
   "metadata": {},
   "source": [
    "## Easy Import\n",
    "\n",
    "Simply import a mesh from `usd`, `gltf` or `obj` format; to enable rendering ensure to set `triangulate=True`.\n",
    "\n",
    "(Note that material standards vary widely and for USD we only support `USDPreviewSurface` spec at this time, as well as partial PBR support for `gltf` and `obj`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "62ec02d0-fab0-40d2-92ad-b2f33561c23d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SurfaceMesh object with batching strategy NONE\n",
      "            vertices: [9204, 3] (torch.float32)[cuda:0]  \n",
      "               faces: [18400, 3] (torch.int64)[cuda:0]  \n",
      "        face_normals: [18400, 3, 3] (torch.float32)[cuda:0]  \n",
      "                 uvs: [36800, 2] (torch.float32)[cuda:0]  \n",
      "        face_uvs_idx: [18400, 3] (torch.int64)[cuda:0]  \n",
      "material_assignments: [18400] (torch.int16)[cuda:0]  \n",
      "           materials: list of length 2\n",
      "       face_vertices: if possible, computed on access from: (faces, vertices)\n",
      "            face_uvs: if possible, computed on access from: (uvs, face_uvs_idx)\n",
      "      vertex_normals: if possible, computed on access from: (faces, face_normals)\n",
      "     vertex_tangents: if possible, computed on access from: (faces, face_vertices, face_uvs, vertex_normals)\n",
      "       vertex_colors: if possible, computed on access from: (faces, face_colors)\n",
      "     vertex_features: if possible, computed on access from: (faces, face_features)\n",
      "       face_tangents: if possible, computed on access from: (faces, vertex_tangents)\n",
      "         face_colors: if possible, computed on access from: (faces, vertex_colors)\n",
      "       face_features: if possible, computed on access from: (faces, vertex_features)\n"
     ]
    }
   ],
   "source": [
    "# Import and triangulate to enable rasterization; move to GPU\n",
    "mesh = kal.io.import_mesh(sample_mesh_path('armchair.usdc'), triangulate=True).cuda()\n",
    "    \n",
    "# Normalize so it is easy to set up default camera\n",
    "mesh.vertices = kal.ops.pointcloud.center_points(mesh.vertices.unsqueeze(0), normalize=True).squeeze(0)\n",
    "\n",
    "# Inspect\n",
    "print(mesh)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a679038b-e051-428c-bb20-6d432cd8c4b8",
   "metadata": {},
   "source": [
    "## Easy Lighting Parameters\n",
    "\n",
    "Let's create default camera and Spherical Gaussian lighting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "46c81fa5-2aa8-4a01-ada3-d822db07ca9f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# Default rendering settings\n",
    "camera = kal.render.easy_render.default_camera(512).cuda()\n",
    "lighting = kal.render.easy_render.default_lighting().cuda()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ef05797-bbcf-4298-af26-ffd34851f9dc",
   "metadata": {},
   "source": [
    "## Easy Render Function\n",
    "\n",
    "Now let's render different passes for this mesh, using its loaded materials. We can also set another material type."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e531412d-b4e9-44d0-b1a0-8f5b163ca871",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fc21dbb6790>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def render(in_cam, **kwargs):\n",
    "    render_res = kal.render.easy_render.render_mesh(in_cam, mesh, lighting=lighting, **kwargs)\n",
    "    # render pass\n",
    "    img = render_res[kal.render.easy_render.RenderPass.render].squeeze(0).clamp(0, 1)\n",
    "    # normals pass\n",
    "    normals = render_res[kal.render.easy_render.RenderPass.normals].squeeze(0).clamp(0, 1)\n",
    "    # albedo pass\n",
    "    albedo = render_res[kal.render.easy_render.RenderPass.albedo].squeeze(0).clamp(0, 1)\n",
    "    return (torch.cat([img, normals, albedo], dim=1) * 255.).to(torch.uint8)\n",
    "\n",
    "# Show simple render\n",
    "plt.figure()\n",
    "plt.imshow(render(camera).cpu().numpy())\n",
    "    \n",
    "# Let's set custom materials and assignments\n",
    "materials = [kal.render.easy_render.default_material((0.9, 0.0, 0.0)).cuda()]\n",
    "material_assignments = torch.zeros_like(mesh.material_assignments)\n",
    "plt.figure()\n",
    "plt.imshow(render(camera, custom_materials=materials, custom_material_assignments=material_assignments).cpu().numpy())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7dda6687-e8c9-4a4d-80c6-92132b1503e5",
   "metadata": {},
   "source": [
    "## Easy Interactive Visualizer\n",
    "\n",
    "The render function above can be used to instantiate an interactive renderer. While there exist many production 3D viewers, this jupyter viewer allows easy inspection and debugging of custom render functions that are used e.g. inside 3D DL training loop.\n",
    "\n",
    "Run this cell, and click and drag inside the rendered viewport (note: first interaction can be slow)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8e7eacfc-a014-4270-bf77-7e4f9e16f4fe",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "10b713cebeae4c42b1de51cb04d5219d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Canvas(height=512, width=1536)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ac06d2208e0d4d889aeac7b7317c2b2d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def fast_render(in_cam, factor=8):\n",
    "    lowres_cam = copy.deepcopy(in_cam)\n",
    "    lowres_cam.width = in_cam.width // factor\n",
    "    lowres_cam.height = in_cam.height // factor\n",
    "    return render(lowres_cam)\n",
    "\n",
    "visualizer = kal.visualize.IpyTurntableVisualizer(\n",
    "    512, 512 * 3, copy.deepcopy(camera), render, fast_render=fast_render,\n",
    "    max_fps=24, world_up_axis=1)\n",
    "visualizer.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
